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Finding the Fourth Proportional to 465.84, 697.80 and 303.60

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Solution

The fourth proportional to 465.84, 697.80 and 303.60 is: 454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 697.80 = 303.60 : x
  2. Step 2: Convert to fraction form
    465.84/697.80 = 303.60/x
  3. Step 3: Cross multiply
    465.84x = 697.80 × 303.60
  4. Step 4: Simplify right side
    465.84x = 211,852.08
  5. Step 5: Solve for x
    x = 211,852.08/465.84
  6. Step 6: Final answer
    x = 454.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.